Online GCD Calculator is useful to find the GCD of 692, 748, 904, 100 quickly. Get the easiest ways to solve the greatest common divisor of 692, 748, 904, 100 i.e 4 in different methods as follows.
Given Input numbers are 692, 748, 904, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 904 :
The positive integer divisors of 904 that completely divides 904 are.
1, 2, 4, 8, 113, 226, 452, 904
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (692, 748, 904, 100) = 4.
Given numbers are 692, 748, 904, 100
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 904 are 2 x 2 x 2 x 113
Prime factors of 100 are 2 x 2 x 5 x 5
The highest common occurrence is 22
Therefore, GCD of 692, 748, 904, 100 is 4.
Given numbers are 692, 748, 904, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 748) = 129404
GCD(692, 748) = ( 692 x 748 ) / 129404
= 692 / 748
= 692
Step2:
LCM(4, 904) = 904
GCD(4, 904) = ( 4 x 904 ) / 904
= 4 / 904
= 4
Step3:
LCM(4, 100) = 100
GCD(4, 100) = ( 4 x 100 ) / 100
= 4 / 100
= 4
So, Greatest Common Divisor of 692, 748, 904, 100 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 748, 904, 100
The greatest common divisor of numbers 692, 748, 904, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 748, 904, 100 is 4.
1. What is the GCD of 692, 748, 904, 100?
GCD of given numbers 692, 748, 904, 100 is 4
2. How to calculate the greatest common divisor of 692, 748, 904, 100?
We can find the highest common divisor of 692, 748, 904, 100 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 692, 748, 904, 100 i.e 4.
3. How can I use the GCD of 692, 748, 904, 100Calculator?
Out the numbers 692, 748, 904, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.